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Finding the Fourth Proportional to 218.53, 327.80 and 137.43

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Solution

The fourth proportional to 218.53, 327.80 and 137.43 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.53 : 327.80 = 137.43 : x
  2. Step 2: Convert to fraction form
    218.53/327.80 = 137.43/x
  3. Step 3: Cross multiply
    218.53x = 327.80 × 137.43
  4. Step 4: Simplify right side
    218.53x = 45,049.12
  5. Step 5: Solve for x
    x = 45,049.12/218.53
  6. Step 6: Final answer
    x = 206.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.